Highest Common Factor (HCF)

This lesson covers:

  1. How to find the highest common factor (HCF) of a pair of numbers, by comparing lists of each numbers factors.
  2. How to find the HCF of a pair of numbers by comparing their prime factors. 

Find the highest common factor (HCF) of 24 and 32.

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Find the highest common factor (HCF) of 12 and 18.

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Find the highest common factor (HCF) of 75 and 90.

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Find the highest common factor (HCF) of 32 and 80.

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Below are the numbers 56 and 98, expressed as products of their prime factors:


56 = 2 x 2 x 2 x 7

98 = 2 x 7 x 7


Use these to find the highest common factor (HCF) of 56 and 98.

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Below are the numbers 84 and 180, expressed as products of their prime factors:


84 = 2 x 2 x 3 x 7

180 = 2 x 2 x 3 x 3 x 5


Use these to find the highest common factor (HCF) of 84 and 180.

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Below are the numbers 32 and 80, expressed as products of their prime factors:


32 = 2 x 2 x 2 x 2 x 2

80 = 2 x 2 x 2 x 2 x 5


Use these to find the highest common factor (HCF) of 32 and 80.

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